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Finding the Fourth Proportional to 374.52, 562.13 and 192.05

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Solution

The fourth proportional to 374.52, 562.13 and 192.05 is: 288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.52 : 562.13 = 192.05 : x
  2. Step 2: Convert to fraction form
    374.52/562.13 = 192.05/x
  3. Step 3: Cross multiply
    374.52x = 562.13 × 192.05
  4. Step 4: Simplify right side
    374.52x = 107,953.30
  5. Step 5: Solve for x
    x = 107,953.30/374.52
  6. Step 6: Final answer
    x = 288.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.